The pendulum
Length L
mgsin
m
mgcos
We separate the motion into the tangential and radial
directions. Only the tangential component will be used
here.
The equilibrium position is =0 where the pendulum
points straight down.
mg
Solution = maxcos(t + )
d = 
Buoyancy Lab
Colin Wang
December 11, 2012
Aim:
To verify the definition of the buoyant force by measuring the apparent
weight of objects in water, and determining the density of water.
Theory:
Method:
Materials:

Newton scales
Various masses
Water
Gradua
Colin Wang
2011
Part 1: Analysis of Horizontal Motion:
1) Horizontal Displacement vs. Time
Time (s) Horiz. Disp. (cm)
0.1
0.45
0.2
0.9
0.3
1.35
0.4
1.8
0.5
2.25
0.6
2.7
0.7
3.15
0.8
3.6
0.9
4.05
1
4.5
1.1
4.95
1.2
5.4
1.3
5.85
1.4
6.3
October 3,
Colin Wan
The Relationship between Apparent Depth and Actual Depth
Colin Wang
Lab Partner: Calvin Cheng
Aim:
To verify the relationship between apparent depth and actual depth, which states that the
index of refraction n is equal to the actual d